Complete the table. × 2 x 2 - 2 x y x 4 y 3 2 x y z (_____) x z 2 x 4 (_____) 4 x 5 y 4 - x 2 y 2 y 2 z - 10 x y 2 z 3 - 3 x y z (_____) - 14 x y z 2

The given table is shown as follows, × 2 x 2 - 2 x y x 4 y 3 2 x y z (_____) x z 2 x 4 (_____) 4 x 5 y 4 - x 2 y 2 y 2 z - 10 x y 2 z 3 - 3 x y z (_____) - 14 x y z 2 To multiply two binomials, use the simple formula, = (Multiplication of the coefficients) × (multiplication of literals) Also, if x is a variable and m , n are positive integers then, x m × x n = x m + n Hence, the complete table is given as follows, × 2 x 2 - 2 x y x 4 y 3 2 x y z - 5 x z 2 x 4 2 x 6 - 2 x 5 y x 8 y 3 2 x 5 y z - 5 x 5 z 2 4 x y 8 x 3 y - 8 x 2 y 2 4 x 5 y 4 8 x 2 y 2 z - 20 x 2 y z 2 - x 2 y - 2 x 4 y 2 x 3 y 2 - x 6 y 4 - 2 x 3 y 2 z 5 x 3 y z 2 2 y 2 z 4 x 2 y 2 z - 4 x y 3 z 2 x 4 y 5 z 4 x y 3 z 2 - 10 x y 2 z 3 - 3 x y z - 6 x 3 y z 6 x 2 y 2 z - 3 x 5 y 4 z - 6 x 2 y 2 z 2 15 x 2 y z 3 - 7 z - 14 x 2 z 14 x y z - 7 x 4 y 3 z - 14 x y z 2 35 x z 3

If l = 4 p q 2 , b = - 3 p 2 q , h = 2 p 3 q 3 then, find the value of l × b × h .

Given, l = 4 p q 2 , b = - 3 p 2 q , h = 2 p 3 q 3 So, l × b × h = 4 p q 2 × - 3 p 2 q × 2 p 3 q 3 To multiply the monomials, use the formula, = (Multiplication of coefficients) × (multiplication of literals) Therefore, 4 p q 2 × - 3 p 2 q × 2 p 3 q 3 = ( 4 × - 3 × 2 ) p q 2 × p 2 q × p 3 q 3 = ( - 12 × 2 ) p 6 × q 6 = - 24 p 6 q 6 Hence, the required answer is - 24 p 6 q 6

E M B I B E

Standard Eight Mathematics>Chapter 3 - Algebra>Try these>Q 1

MEDIUM

8th Tamil Nadu Board

IMPORTANT

Earn 100

Multiply:

$(2 x + 3) (x + 4)$

Important Questions on Algebra

EASY

8th Tamil Nadu Board

IMPORTANT

Standard Eight Mathematics>Chapter 3 - Algebra>Try these>Q 1

Multiply

$(x - 5) (3 x + 7)$

EASY

8th Tamil Nadu Board

IMPORTANT

Standard Eight Mathematics>Chapter 3 - Algebra>Try these>Q 1

Multiply

$(x - 2) (6 x - 3)$

EASY

8th Tamil Nadu Board

IMPORTANT

Standard Eight Mathematics>Chapter 3 - Algebra>Think>Q 1

What is the highest power in the expression

3 x^{2} (x^{4} - 7 x^{3} + 2)

?

EASY

8th Tamil Nadu Board

IMPORTANT

Standard Eight Mathematics>Chapter 3 - Algebra>Think>Q 1

$- 5 y^{2} + 2 y - 6$ $= - (5 y^{2} + 2 y - 6)$

Is this correct? If not, correct the mistake.

MEDIUM

8th Tamil Nadu Board

IMPORTANT

Standard Eight Mathematics>Chapter 3 - Algebra>Exercise 3.1>Q 1

Complete the table.

$\times$	$2 x^{2}$	$- 2 x y$	$x^{4} y^{3}$	$2 x y z$	(_____) $x z^{2}$
$x^{4}$
(_____)			$4 x^{5} y^{4}$
$- x^{2} y$
$2 y^{2} z$					$- 10 x y^{2} z^{3}$
$- 3 x y z$
(_____)				$- 14 x y z^{2}$